λ
Harmonic Matrix

7,323,961

467 × 15683
Deficient Odd Composite

7,323,961 has digital root 4. The neighboring primes are 7323947 and 7323977; its proper-divisor sum differs from the starting integer by -7,307,810.

Prime Factor Structure

Factorization String 467 × 15683
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,340,112
Proper Divisor Sum 16,151
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #7323947 ← → #7323977

Radix Representation

Decimal 7323961
Binary 11011111100000100111001 (23 bits)
Octal 0o33740471
Hexadecimal 0x6FC139

Divisor Catalog (4)

1 467 15,683 7,323,961

Collatz Trajectory (217 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

7,323,961 21,971,884 10,985,942 5,492,971 16,478,914 8,239,457 24,718,372 12,359,186 6,179,593 18,538,780 9,269,390 4,634,695 13,904,086 6,952,043 20,856,130 10,428,065 31,284,196 15,642,098 7,821,049 23,463,148 11,731,574 5,865,787 17,597,362 8,798,681 26,396,044 13,198,022 6,599,011 19,797,034 9,898,517 29,695,552 14,847,776 7,423,888 3,711,944 1,855,972 927,986 463,993 1,391,980 695,990 347,995 1,043,986 521,993 1,565,980 782,990 391,495 1,174,486 587,243 1,761,730 880,865 2,642,596 1,321,298 660,649 1,981,948 990,974 495,487 1,486,462 743,231 2,229,694 1,114,847 3,344,542 1,672,271

More profiles

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